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Simplifying 5(3x + -2) = 5 + -7(x + -1) Reorder the terms: 5(-2 + 3x) = 5 + -7(x + -1) (-2 * 5 + 3x * 5) = 5 + -7(x + -1) (-10 + 15x) = 5 + -7(x + -1) Reorder the terms: -10 + 15x = 5 + -7(-1 + x) -10 + 15x = 5 + (-1 * -7 + x * -7) -10 + 15x = 5 + (7 + -7x) Combine like terms: 5 + 7 = 12 -10 + 15x = 12 + -7x Solving -10 + 15x = 12 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -10 + 15x + 7x = 12 + -7x + 7x Combine like terms: 15x + 7x = 22x -10 + 22x = 12 + -7x + 7x Combine like terms: -7x + 7x = 0 -10 + 22x = 12 + 0 -10 + 22x = 12 Add '10' to each side of the equation. -10 + 10 + 22x = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 22x = 12 + 10 22x = 12 + 10 Combine like terms: 12 + 10 = 22 22x = 22 Divide each side by '22'. x = 1 Simplifying x = 1
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